Many physical phenomena are described by equations whose solution is an exponential decay. Determining the amplitudes, damping factors and oscillating frequencies from experimental data is a common task in various areas of science and technology. Prony's method is a well-known tool for estimating these parameters. However in some cases, especially when the signal-to-noise ratio is small, Prony's method may inaccurately estimate damping factors and oscillating frequencies. Hence, this paper investigates possible ways for improving the performance of Prony's method when analyzing the output signal of a pressure transducer. It is shown that by choosing optimal parameter values to reduce the condition number it is possible to increase the accuracy of Prony's method. The algorithm for choosing the optimal sampling rate is presented.

This paper introduces a new technique, Prism signal processing, which may be used for the tracking of one or more noisy sinusoids in a signal. A simulation study is presented demonstrating the potential of Prism signal processing as an alternative to Prony's method for analyzing exponentially decaying sinusoids. One application is to sensor condition monitoring of an industrial pressure sensor, using ultrasonic excitation to evaluate the sensor's structural integrity. Initial experimental results suggest the Prism technique can reveal details in the resulting frequency/amplitude time series of each component, which is not available through Prony's method.

A key requirement for Industrial Cyber-Physical System (ICPS) instrumentation is measurement validation i.e. assessing measurement quality, including detecting and correcting for fault conditions. Coriolis Mass flow meters are used widely throughout industry, but commonly only for single-phase fluids, i.e. either liquids or gases, since accuracy is degraded by gas/liquid flows. The provision of robust measurement in non-ideal conditions is an increasingly important requirement. Here we propose that a modified Matrix Pencil Method is able to track the modes of flowtube vibration excited by gas/liquid flow, and show the results of applying the technique to numerically simulated data.

The paper investigates the possible applications of the Matrix Pencil Method in Coriolis mass flow meter signal processing. This method provides fast dynamic response since it requires only about one period of the sampled signal. Simulations results show that the proposed technique provides a better performance of frequency and phase difference tracking compared with the Hilbert Transform.